Whispered by some fellow Democrats to be leaning against running for re-election, Lt. Gov. Nancy Wyman was noncommittal Tuesday about whether she would join Gov. Dannel P. Malloy atop the party's ticket again next year in what is shaping up to be a bellwether race.

Wyman, 67, who is in her first term and resides in Tolland, told Hearst Connecticut Newspapers that she hasn't discussed the race with Malloy or given much thought to her political future.

Consistently popular with voters, going back to her tenure as a state legislator and then state comptroller, Wyman said she has been consumed with helping to spearhead the rollout of the state's new health insurance exchange and meeting with regional leaders to discuss critical issues.

"I love how the gossip goes around," Wyman said. "We really have not talked about (running again). When the time comes, we will."

Malloy spokesman Andrew Doba characterized Wyman as an asset to the governor, who won the state's top office by less than 1 percentage point in 2010.

"Nancy Wyman is an incredibly hard-working and dedicated public servant," Doba said. "We are lucky to have her."

Wyman's comments about the 2014 election echo those of Malloy, who has previously said that now is not the time for politics.

"That's the last thing on our list to do," said Wyman, a married mother of two adult daughters and grandmother of five. "We can't even get together for scheduling."

"To my knowledge, both the governor and lieutenant governor are focused now on doing their job of governing, and they are not thinking about any campaigns," DiNardo said.

A Democrat familiar with the dynamics of the ticket told the newspaper that current Comptroller Kevin Lembo, the first openly gay person elected to statewide office in Connecticut and is also in his first term, could replace Wyman on the ticket if she decides not to run.

Messages seeking comment were left for Lembo on Tuesday, but he could not be reached.

Wyman is chairman of the board of AccessHealthCT, the health insurance exchange that was recently created by the state after President Barack Obama's signature health care law known as the Affordable Care Act went into effect. She estimated that more than 4,000 people have signed up for coverage since enrollment began on Oct. 1.

"We've opened storefronts," Wyman said. "Our people are picking up those calls within two minutes."

Wyman acknowledged that the kinks are still being worked out of the system, especially on the website of the exchange.

"We have things that we can probably fix a little bit and tweak," she said.

Having Wyman as a running mate is seen by a number of Democrats as a boost for Malloy, who was listed among the most vulnerable incumbent governors by National Public Radio.

"I think the governor has done a great job," Wyman said. "He's been out there working harder than anybody I've ever seen before. We've seen our state in the worst economic hole that I've ever seen in my lifetime."

When she isn't navigating the Capitol in her trademark high heels, Wyman has been at the side of Malloy during a wave of crises, from the Sandy Hook Elementary School massacre to Superstorm Sandy.

Wyman said that Malloy deserves to be re-elected.

"I think when people realize what he's done in this last three years, he'll be re-elected if that's what he chooses to do," she said.